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yKpoI14uk [10]
3 years ago
9

Which of the following shows the prime factorization of 200 using exponential notation?

Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

The prime factorization of 200 using exponential notation is 2^{3}\times 5^{2}.

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) \frac{200}{2} = 100 (Even number)

2) \frac{100}{2} = 50 (Even number)

3) \frac{50}{2} = 25 (Even number)

4) \frac{25}{5} = 5 (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5) \frac{5}{5} = 1 (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

200 = 2^{3}\times 5^{2}

The prime factorization of 200 using exponential notation is 2^{3}\times 5^{2}.

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Step-by-step explanation:

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The number a exceeds the number b by 50 percent. By what percent is the number b smaller than the number a?
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Answer:

   33 1/3 percent smaller

Step-by-step explanation:


The number a exceeds the number b by 50 percent.

a = b + b*.5

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We want to find (a-b)/a  to find the percent decrease

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5 0
3 years ago
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Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.

<u>Given the following data:</u>

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<h3>What is a line of best fit?</h3>

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

From the graph of the data, we have the following linear equation:

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Substituting the value of x, we have:

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Read more on scatterplot here: brainly.com/question/6592115

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A car is traveling at a rate of 99 kilometers per hour. what is the car's rate in kilometers per minute? how many kilometers wil
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Answer:

5

Step-by-step explanation:

Productivity: My candy bar company made 100 million bars last year, sold for $1 each. I also paid [L] people last year, with an average salary of $100K last year. I have overhead cost of $10M. What was my TOTAL productivity (no units, rounded to 2 decimal places)?

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